4823724864 has 448 divisors, whose sum is σ = 16479682560. Its totient is φ = 1213470720.

The previous prime is 4823724863. The next prime is 4823724937. The reversal of 4823724864 is 4684273284.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2064384) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4823724863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25255009 + ... + 25255199.

Almost surely, 2^4823724864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4823724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239841280).

4823724864 is an abundant number, since it is smaller than the sum of its proper divisors (11655957696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4823724864 is a wasteful number, since it uses less digits than its factorization.

4823724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 4823724864 is about 69453.0407109725. The cubic root of 4823724864 is about 1689.6399760614.

The spelling of 4823724864 in words is "four billion, eight hundred twenty-three million, seven hundred twenty-four thousand, eight hundred sixty-four".